TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.2.059
TI  - Higher-point integrands in $\mathcal{N} = 4$ super Yang-Mills theory
PY  - 2023/08/10
UR  - https://scipost.org/SciPostPhys.15.2.059
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 2
SP  - 059
A1  - Bargheer, Till
AU  - Fleury, Thiago
AU  - Goncalves, Vasco
AB  - We compute the integrands of five-, six-, and seven-point correlation functions of twenty-prime operators with general polarizations at the two-loop order in $\mathcal{N}=4$ super Yang-Mills theory. In addition, we compute the integrand of the five-point function at three-loop order. Using the operator product expansion, we extract the two-loop four-point function of one Konishi operator and three twenty-prime operators. Two methods were used for computing the integrands. The first method is based on constructing an ansatz, and then numerically fitting for the coefficients using the twistor-space reformulation of $\mathcal{N}=4$ super Yang-Mills theory. The second method is based on the OPE decomposition. Only very few correlator integrands for more than four points were known before. Our results can be used to test conjectures, and to make progresses on the integrability-based hexagonalization approach for correlation functions.
ER  -

@Article{10.21468/SciPostPhys.15.2.059,
	title={{Higher-point integrands in $\mathcal{N} = 4$ super Yang-Mills theory}},
	author={Till Bargheer and Thiago Fleury and Vasco Gonçalves},
	journal={SciPost Phys.},
	volume={15},
	pages={059},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.2.059},
	url={https://scipost.org/10.21468/SciPostPhys.15.2.059},
}